Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 18, Issue 1, Pages 67-82Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/09615530810839750
Keywords
flow; finite element analysis; meshes
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Purpose - This paper seeks to numerically model electro-osmotic flow (EOF) through microchannels using a finite element-based unstructured mesh solution methodology. Design/methodology/approach - The finite element method (FEM) combined with the characteristic-based split (CBS) algorithm is used to solve the coupled Navier-Stokes equations in order to simulate EOFs. The Laplace and Poisson-Boltzmann equations are solved explicitly a priori to the solution of the fluid dynamic equations. The external electric field and internal potential values are then used to construct the source terms of the fluid dynamics equations. Findings - Proposed methodology works excellently on unstructured meshes for both two- and three-dimensional flow problems. The results obtained for benchmark channel flow problems show an excellent agreement with analytical and experimental data. Originality/value - The idea of using the FEM and the CBS algorithm to solve the governing equations of EOFs is proposed. This particular method of solving these equations is unprecedented. In addition to benchmark examples, a problem of practical importance is also solved in this paper.
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